Dennis Eichhorn's Home Page
This page is under construction.
Hello! Welcome to my home page.
I work in the areas of Combinatorics and Analytic Number Theory
here at
UCI's
Math Department.
The primary focus of my research is in partition theory, but I do research
in other areas as well.
My Erdös Number is 2,
and I have an exciting mathematical genealogy.
I am happy to help anyone interested in training for the Putnam Exam.
I helped train the Putnam teams at both Cal State East Bay and The
University of Connecticut,
and both teams found meeting to solve tons of cool problems to be highly
enjoyable and very
Putnam-score beneficial.
If you are interested in gathering to spend more time solving
beautiful and challenging problems,
let me know by emailing me at:
deichhor (at) math (dot) uci (dot) edu
There is also an EEE
forum for Math 194
that I will
check regularly.
Here is some research stuff, which is pretty out of date, but will be
updated soon:
- My
CV.
- Summaries of my earlier manuscripts and publications in
dvi,
ps,
or
pdf
formats (very out of date).
- Reviews
of some of my earlier publications.
- "Congruences for partition functions" with Ken Ono in
dvi,
ps, or
pdf
formats.
- "A Combinatorial Approach to Partitions with Parts in the Gaps" in
dvi,
ps, or
pdf
formats.
- "Edge-Bandwidth of Theta Graphs" with Dhruv Mubayi, Kevin O'Bryant,
and Doug West in
dvi,
ps, or
pdf
formats.
- "Edge-Coloring Cliques with Many Colors on Subcliques" with Dhruv
Mubayi in
dvi,
ps,
or
pdf
formats.
- "Gap Unification Theory: a Note on the Treatment of Partitions Via
Their Gaps" in
dvi,
ps,
or
pdf
formats.
- "Computational Proofs of Congruences for 2-colored Frobenius
Partitions" with James Sellers in
dvi,
ps, or
pdf
formats.
- "Finitization Proofs of Congruences for t-cores" with James Sellers
in
dvi,
ps,
or
pdf
formats.
- My thesis, "Some Results on the Congruential and Gap-Theoretic Study
of
Partition Functions" in
dvi,
ps,
or
pdf
formats.